Each suitcase is 14 16

Question

inches tall. Your plan is to stack all four suitcases on top of one another in your trunk. If your trunk is only 50 inches high, will you have enough room?(2 points)
Responses

Yes, the height of all the suitcases is 4823
inches.
Yes, the height of all the suitcases is 48 and 2 thirds inches.

No, the height of all the suitcases is 56 56
inches.
No, the height of all the suitcases is 56 56
inches.

No, the height of all the suitcases is 56 23
inches.
No, the height of all the suitcases is 56 23
inches.

No, the height of all the suitcases is 52 23
inches.

please show ur work

Answer 1

To determine whether the four suitcases stacked on top of each other will fit in the trunk, we start by calculating the total height of the suitcases.

Given that each suitcase is $14\frac{16}{16}$ inches tall (which simplifies to $15$ inches because $16/16=1$), we need to calculate the total height for four suitcases.

1. Find the height of one suitcase: $$14+\frac{16}{16}=14+1=15\text{ inches}$$

2. Now, calculate the height of four suitcases: $$4\times 15\text{ inches}=60\text{ inches}$$

3. Compare the total height of the suitcases to the height of the trunk:

   • Trunk height: $50\text{ inches}$
   • Height of four suitcases: $60\text{ inches}$

Since $60\text{ inches}>50\text{ inches}$, you do not have enough room to stack all four suitcases.

Thus, the correct response is: No, the height of all the suitcases is 60 inches.

Answer 2

whats the colsest answer

Answer 3

From the original options provided, the closest answer to the computed height of the four suitcases (60 inches) is not explicitly available. However, options that state "No, the height of all the suitcases is 56 inches" could be interpreted as an approximation.

However, if we strictly look at the provided options:

1. Yes, the height of all the suitcases is 48 and 2 thirds inches.
2. No, the height of all the suitcases is 56 inches.
3. No, the height of all the suitcases is 52 and 23 inches.
4. No, the height of all the suitcases is 56 and 56 inches.
5. No, the height of all the suitcases is 56 and 23 inches.

None accurately describe the total height as 60 inches. The best response related to the conclusion that they do not fit would be the multiple "No" options, but specifically, "No, the height of all the suitcases is 56 inches." is the closest response since it indicates a height that implies they do not fit, albeit not the correct height.

If you need to select an answer based on the closest approximation regarding the unavailability of options that mention 60 inches, choose:

No, the height of all the suitcases is 56 inches.

Answer 4

b or c

Answer 5

Given your clarification to choose between options B and C, let's review them:

• B: No, the height of all the suitcases is 56 inches.
• C: No, the height of all the suitcases is 52 23 inches.

Since the total height of the four suitcases calculated earlier is 60 inches, neither B nor C is correct regarding the exact height. However, option B ("No, the height of all the suitcases is 56 inches.") is the more straightforward option that clearly conveys the idea that the suitcases do not fit due to their combined height being greater than the trunk height.

Therefore, between B and C, the better choice is:

B: No, the height of all the suitcases is 56 inches.

Answer 6

whats the work for the question

Answer 7

Let's clearly break down the work for the question step by step:

Problem Statement

You have suitcases that are each 14 inches tall and 16 inches wide, but only the height matters for this problem since you are stacking them vertically in a trunk that is 50 inches high. You need to determine if you can stack all four suitcases in the trunk.

Step 1: Calculate the Height of One Suitcase

The height of one suitcase is given as $14\frac{16}{16}$ inches. This can be broken down as follows:

1. The whole number part is $14$ inches.
2. The fractional part $\frac{16}{16}=1$.

Thus, the height of one suitcase is: $$14+1=15\text{ inches}$$

Step 2: Calculate the Total Height of Four Suitcases

Now, we need to find the total height of four suitcases:

1. Multiply the height of one suitcase by the number of suitcases: $$\text{Total Height}=4\times 15\text{ inches}=60\text{ inches}$$

Step 3: Compare to the Trunk Height

The height of the trunk is given as $50$ inches. We need to compare the total height of the suitcases to this trunk height:

1. Total height of the suitcases: $60\text{ inches}$
2. Trunk height: $50\text{ inches}$

Step 4: Conclusion

Since $60\text{ inches}>50\text{ inches}$, the suitcases will not fit in the trunk.

Final Statement

Thus, you conclude that:

• No, the height of all the suitcases is 60 inches.

However, in relation to your options, the response closest might be:

• B: No, the height of all the suitcases is 56 inches, as it implies they do not fit.

This breakdown provides a clear understanding of how to arrive at the conclusion systematically.